Question

The equation 9(u – 2) + 1.5u = 8.25 models the total miles Michael traveled one afternoon while sledding, where u equals the number of hours walking up a hill and (u – 2) equals the number of hours sledding down the hill. Which is the value of u?
99 points

Answer 1

U has a value of 2.5

Answer 2

Answer:

h = 2.5

Step by step explanation:

We have been given an equation $9(u-2)+1.5u=8.25$ that models the total miles Michael traveled one afternoon while sledding, where u equals the number of hours walking up a hill and (u – 2) equals the number of hours sledding down the hill.

To find value of u we will solve our equation.

Upon using distributive property we will get,    

$9(u-2)+1.5u=8.25$

$9u-18+1.5u=8.25$

Now let us add 18 to both sides of our equation.

$9u-18+18+1.5u=8.25+18$

$9u+1.5u=8.25+18$

Now let us combine like terms.

$10.5u=26.25$

Upon dividing both sides of our equation by 10.5 we will get,

$u=\frac{26.25}{10.5}$

$u=2.5$

Therefore, value of u is 2.5.